I am a ftm and would love some input from other moms. My parents have given us a Stokke stroller with a Carrycot. We have a big wooden cot for the baby's room. But I would like to let baby sleep next to our bed for the first month. Would my stroller's carrycot suffice? Or do I need to buy/barrow a Moses basket? I am thinking if its safe for day time naps why not safe during the night?